Ergodic theory for complex continued fractions
Ergodic theory for complex continued fractions
复制标题
复连分数的遍历理论
DOI：
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发表时间：
1982
期刊：
影响因子：
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通讯作者：
Asmus L. Schmidt
中科院分区：
文献类型：
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作者：
Asmus L. Schmidt
对于复连分式算法，用初等函数显式确定了移位变换的不变度量，并且证明了该变换是遍历的。得到了KINTCHINE和L的著名定理的类似结果。
For a complex continued fraction algorithm the invariant measure for the shift transformation is determined explicitly in terms of elementary functions, and the transformation is shown to be ergodic. Analogues of well-known theorems of Khintchine and Lévy are obtained.